Mathematics and Biosciences in Interaction

Single-Cell-Based Models in Biology and Medicine

Editors: Anderson, Alexander, Rejniak, Katarzyna (Eds.)

  • Presents corresponding experiments and mathematical models
  • Introduces recent model approaches with applications
  • Includes applied issues such as tumor cell growth, blood clotting and biotechnology
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eBook $189.00
price for USA (gross)
  • ISBN 978-3-7643-8123-3
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-7643-8101-1
  • book with DVD
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

To adequately describe complex spatio-temporal processes that occur in multi-cellular organisms, a class of models is required that simultaneously takes into account differences between individual cells as well as their ability to communicate and interact with one another and their environment. Single-cell-based models form a framework that allows for the explicit incorporation of different properties of individual cells, but at the same time enables all cells to act together as one collective body. This leads ultimately to more biologically realistic models of heterogeneous tissues and multi-cellular organisms and allows for a better understanding of the principles underlying the complex biological processes occurring during the formation, growth and maintenance of multi-cellular bodies.

The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications.

Table of contents (13 chapters)

  • A Hybrid Multiscale Model of Solid Tumour Growth and Invasion: Evolution and the Microenvironment

    Anderson, Alexander R. A.

    Pages 3-28

  • Lattice-gas Cellular Automaton Modeling of Developing Cell Systems

    Deutsch, Andreas

    Pages 29-51

  • Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field

    Alber, Mark (et al.)

    Pages 53-76

  • Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model

    Glazier, James A. (et al.)

    Pages 79-106

  • The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis

    Marée, Athanasius F. M. (et al.)

    Pages 107-136

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-7643-8123-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-7643-8101-1
  • book with DVD
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Single-Cell-Based Models in Biology and Medicine
Editors
  • Alexander Anderson
  • Katarzyna Rejniak
Series Title
Mathematics and Biosciences in Interaction
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8123-3
DOI
10.1007/978-3-7643-8123-3
Hardcover ISBN
978-3-7643-8101-1
Edition Number
1
Number of Pages
IX, 349
Topics